(4x+1)/(sqrt(2x^(2)+x-3))

Evaluate: (i) int(4x+2)sqrt(x^(2)+x+1)dx (ii) int(4x+3)/(sqrt(2x^(2)+3x+1))dx

The domain of the function f(x)=(sqrt(x^(12)-x^(3)+x^(4)-x+1))/(2sqrt(2{x}^(2)-3{x}+1)) (where {} denotes the fractional part functio) is

lim_(x to oo ) (sqrt(3x^(2)-1)-sqrt(2x^(2)-3))/(4x+3)

lim_(x to oo ) (sqrt(3x^(2)-1)-sqrt(2x^(2)-3))/(4x+3)

Evaluate underset( x rarr oo )("lim") ( sqrt( 3x^(2) - 1) - sqrt( 2x ^(2) - 1))/( 4x + 3)

Evaluate: (i) int(4x+2)sqrt(x^2+x+1)\ dx (ii) int(4x+3)/(sqrt(2x^2+3x+1))\ dx

" 3."int(4x+3)/(sqrt(1-3x-2x^(2)))dx

Domain of (sqrt(x^(2)-4x+3)+1) log_(5)""((x)/(5))+(1)/(x)(sqrt(8x-2x^(2)-6)+1) le 1 is

Integrate the following int(x^2+2x+4)/((x+1)sqrt(x^2+2x-3))